I have a piece of code which goes something like this:

	qssReg = new QSslSocket(this);
	qssReg->setLocalCertificate(qscCert);
	qssReg->setPrivateKey(qskKey);

	http = new QHttp(QLatin1String("hostname"), QHttp::ConnectionModeHttps, 443, this);
	http->setSocket(qssReg);

	connect(http, SIGNAL(done(bool)), this, SLOT(done(bool)));
	connect(http, SIGNAL(sslErrors(const QList<QSslError> &)), this, SLOT(regSslError(const QList<QSslError> &)));

The purpose being to do a https connection with a local certificate for authentication. With OpenSSL 1.0.0-b4, this will always cause regSslError() to trigger with "The certificate is self-signed, and untrusted". Looking at qssReg->peerCertificateChain(), I see the "base" certificate for the server is listed twice, then the CA chain to the root cert. I haven't really done any more debugging than that.

With OpenSSL 0.9.8l, everything works as expected.